Unlimited skills is a big no, no.
In fact even in enhanced edition there is too much skills available even in the middle of the game.
Just consider Int based char which invest 2 skill level in every school - 3*5 = 15 points ----> 7* 5 = 35 spells
See, you are confusing "skills" with "spells". You can get a high number of spells for a spellcasting character and end with something that could work. But doing the same for any of the other skill trees - Man at Arms, Marksman and Scouldrel - doesn't work. Man at Arms has different attribute requirements than everything else, and the other two are too linked to their specific weapons (more in EE than in the original).
The "35 spells" would never work if you took the other skill trees and tried to replace it with "35 skills".
And even when using a spellcaster, it would make a very bad character - many of the Adept skills require a higher skill level than 2 to be cast without increased AP cost. Many of the most useful skills would be nearly unuseable.
In fact, your example is a good reason as to why the current system would only improve with unlimited skills at ability level 5. It would give more incentive for people to focus more points in a given ability, as opposed to dabling in everything like in your example; and once you have spent 15 points in a single ability, as opposed to in four different abilities, you would end with far less than 35 skills even if we could today learn all the skills in a skill tree.