"viel" is always used with plural nouns or the singular of uncountables. Many of the forms listed simply don't exist, e.g. you can't say "ein vieler ..." (viel is NEVER used with an indefinite article). Of course there exists such a table that can be used for lots of adjectives, but "viel" is definitely not an adequate example for that.
I guess you really don't mean it's "completely" wrong. It's just that part of it is never applicable in practice - kind of a theoretical table, I think.
So, I really appreciate the explanation you gave below - which is exactly what I was looking for in the internet. But I deduce from it that all the rest of the table is correct in the sense of applicable in practice, right?
I don't know who edited this table. Though it uses known categories of German grammar (sarke/schwache Deklination ...) the contents is complete ❤❤❤❤❤❤❤❤, because most of these forms do not apply to the word "viel", because it is simply not used e.g. with an indefinite article. (native German with Grammar knowledge). Don't learn THIS table, look for a better one!