someone somewhere said "They are all spell casters now," most likely someone who had either A) not played it anyway, or B) had a financial interest in 4e failing, or C)both... and it caught on...
for a non edition war version of this look up the YouTube Channel Cinema Sins "Everything Wrong With" it is a movie review channel that is played mostly for laughs... but when people watch in mass numbers they manage to get ideas (even ones originally with no merit other then a dumb joke) repeated over and over again until people who have never seen the 'review' or even the movie quote almost word for word the complaint as 'common knowledge' about what is wrong with a film... TBF I don't belive those creators do it on purpose and they now add more jokes at there own expense "I know it's explained later but I have to sin it".
4e I could make (just an example) 3 warlords out of the PHB alone that are 10th level and each carries the AEUD structure but has not 1 over lap of EUD parts (having only 4 at wills means each can have 1 unquie at will though) I could easily replicate this feat with any spell caster in 5e (still haveing at wills and daily's) infact we have... I have a campaign I am in with 4 PCs 3 of them are artificers (battlesmith focused on range, alchmist focused on melee and healing, and my armorer melee) along with the druid who was a spoiled sport and would not round us out... we share not at wills, and we all have a 'standard prep' list that has no over lap.
okay, TBF (I hate defending 3e, but I love to defend 2e) in 3e 2 2nd level fighters even out of the PHB could look and play VERY diffrent... I don't remember everything from the PHB (we had alot of house rules and add ons by the end both wotc and 3rd party) having 3-4 (depending on if human, or flaws were aloud maybe 5-6) feats was MASSIVE customization and at low level (say up to 5th) the balance wasn't bad...
2e had a bit of that (not as much) with prof... remember in 2e you didn't know every (or almost every) weapon, you started with 4... so having Handaxe great axe, long bow, shield bash was different then longsword dagger cross bow kick
(later there were weapon groups we used to write it as Bladesx3 or Cleavex3... it cost 3 profs to get a whole catagory... and ALOT of our fighters would start with Bladesx3 longbow... then at 3rd level take specilization in one of them)