If your score is an urtext, what fingering does it show? On the same page where I found the ms there's also the first edition. It follows the ms precisely. Point is, Beethoven is very clear. It's also apparent that the passage must be played legato and pianissimo.
I've played it and studied it myself and I'm of course very well aware of the fact that some pianists don't do a glissando. Throughout the history of this sonata it's always been a trouble spot, and the fact that so many has had a problem here has caused this tradition of skipping the glissando altogether. It may sound as good or better in your opinion, but it's still 'wrong' according to the manuscript and first edition. Play it as you wish, just be aware of what B's original intention was.
Also, the heavier the action is, the more difficult it is to do a gliss. Hence, easier on Beethoven's piano, more difficult today.
Aschkenazy's hands are small, I think. Arrau's are bigger, as are Gilels' (who also glisses).