I took a look at the CSV and figured out the issue. Here's what a proper CSV is supposed to look like:
Count, Name , Edition , Card Number[,etc]
4 , Young Wolf , Dark Ascension , 134
1 , Youthful Knight , Stronghold , 25
1 , "Yukora, the Prisoner", Betrayers of Kamigawa, 90
Notice how the only values that have quotation marks around them are ones with commas IN them, such as Yukora's name. In cases like Yukora, quotation marks are necessary for the parser to know which commas separate values versus which commas are part of the values. They "escape" the commas, to use programmer lingo.
But here's what yours looks like in a text editor (not Excel):
Count, Tradelist Count , Name , Edition , Card Number
"4," "" "," "Young Wolf" "," "Dark Ascension" "," "134"
"1," "" "," "Youthful Knight" "," "Stronghold" "," "25"
"1," "" "," "Yukora, the Prisoner" "," "Betrayers of Kamigawa" "," "90"
((Note that I've spaced everything out more so it's easier to see the issue.))
Notice how every single value is surrounded by quotation marks, and importantly, all the commas that are supposed to be separating values are instead surrounded by quotation marks and thus considered part of the value. This is why the Name column appears blank in the Deckbox error during import -- the value literally is blank, since there were no unescaped commas to help designate which column the name values were supposed to be in.
Now, the reason it doesn't look like that in Excel is because Excel is rendering the CSV content in a visually more meaningful way. So it removes all the extra quotation marks. But what you CAN observe in Excel is that everything is just in column A, instead of each value being in its own column.
So with all the under-the-hood background knowledge out of the way, a couple questions: Does DelverLens a) export a CSV directly, or b) just present you with a bunch of text that you have to copy-and-paste into a CSV file yourself? If it does a) and exports a CSV directly, have you tried importing using that file without ever opening and saving it in Excel? If b) and you have to save it as a CSV file yourself, then try saving it in a basic text editor like Notepad or something.
Basically, either DelverLens isn't giving you a useful export, or something in your process steps altered it to its current form. We need to figure out which so this doesn't happen to you in the future.
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EDIT: So an easy fix within the already-created Excel file was to use the "Text to Columns" tool in the Data tab. I selected all of the values in column A, started the tool, chose "Delimited", under Delimiters unchecked Tab and checked Comma, left the Text Qualifier as the quotation mark, then pressed Finish. This separated all the values into individual columns, which can now import into DB.
However, just like in that other forum post you linked to, there were a bunch of mismatching edition names. I went ahead and helped you out by listing all of the ones you need to change and what to change them to.
Normal sets:
DELVERLENS NAME DROPBOX NAME
Commander 2011 Commander
Duel Decks Anthology: Divine vs. Demonic Duel Decks Anthology, Divine vs. Demonic
Duel Decks Anthology: Jace vs. Chandra Duel Decks Anthology, Jace vs. Chandra
Foreign Black Border Foreign Black Bordered
Fourth Edition Foreign Black Border Fourth Edition: Black Bordered
GRN Guild Kit Guilds of Ravnica Guild Kit
Intl. Collectors’ Edition International Collectors' Edition
Modern Masters Edition Modern Masters
Return to Ravnica Tokens* Extras: Return to Ravnica
Rivals Quick Start Set Introductory Two-Player Set
Summer Magic / Edgar Summer Magic
Time Spiral Timeshifted Time Spiral "Timeshifted"
* On this one, the card name also had to change by removing the word "token".
I recommmend double-checking all the ones marked as FBB, Summer Magic, Intro 2-Player, and Int'l Collectors. According to the guy from the other forum post, DelverLens has a harder time identifying those older cards, and all the ones he had that it marked as Summer Magic and the like ended up being normal versions of the card.
Promo sets:
CARD NAME DELVERLENS SET NAME DECKBOX SET NAME
Arbiter of the Ideal Born of the Gods Promos Prerelease Events
Temur War Shaman Fate Reforged Promos Intro Pack Alternate Art
Sin Collector Friday Night Magic 2013 Friday Night Magic
Zameck Guildmage Gatecrash Promos Magic Game Day Cards
Skarrg Goliath Gatecrash Promos Launch Parties
Giant Growth Junior Super Series Super Series
Xathrid Gorgon Magic 2013 Promos Prerelease Events
Jeering Instigator Ugin's Fate Ugin's Fate Promos
Serra Angel Wizards of the Coast Online Store WotC Online Store
Sprouting Thrinax Wizards Play Network 2008 WPN/Gateway
Master's Call Wizards Play Network 2011 WPN/Gateway
Promos are the trickiest, because there is no standardized system for naming promo editions, nor even for grouping promos into editions. Notice how the DelverLens edition "Gatecrash Promos" turned into two different Deckbox editions, while two different DelverLens editions turned into the Deckbox edition "Prerelease Events". With promos, you just have to check them card-by-card on Deckbox. I'm not looking at all your cards, obviously, so double check that these Deckbox versions do indeed line up with what you own.