In core rules, wizards can't scribe outside their class, so it's the same for them (in terms of 'can I use this spell scroll') as for anyone else. The complaint is that, unless you meticulously memorise each class's individual spell list (because even wizard and sorcerer differ in 5e), you still have to take time out to look it up, if you're trying to play by the rules - which is time out of the game space that one shouldn't really have to be taking, in an ideal situation, and which one wouldn't have to if the rules had been placed into the game properly.
The good news is that this is most likely going to be fixed (everyone casting and wizards omni-scribing) with the major magic and casting update that is confirmed to be happening at some unspecified point in the future. This is something that they are aware of and are (at last comment, subject to change) intending to bring into line with formal 5e.
So, if one is looking to avoid exploiting the current meta for scrolls, one has to do what one would have to do in a TT session, and look it up? Either one of the players, or the GM would do this, or, would have already have done this, in the case of the GM. It's what happened around every table I ever played where the GM wasn't as forthcoming with information as others were. Another solution would be to add "For (insert class(es) here) only" to the meta description of the scrolls. This is not to say that it doesn't need to be fixed, but that it would provide a way for those that are unsure, or are unwilling to do the footwork, to keep the scrolls in the proper place. It serves the same purpose as making it have a red background if the character examining it can't use it.
