IBIS
would they accept non-residents parking there (for a fee).
Yes - it's not for residents only.
corner of Plac Zamkowy and Senatorska
It still exist.
parking lot at Plac Krasińskich - but that is not guarded
As I see, it is marked as guarded now.
Check this map for all guarded parking lots in the area of Old Town in Warsaw:
mapa.targeo.pl/platny-parking-strzezony-calodobowy-ztp,miejsce_5303592