A lot of those would need to be dramatically improved. Take for example the concentration spell Web. Starting out you have the minor two surface triviality that often makes it unusable outdoors or against flying creatures. Next the targets get a free dex save to ignore it when the caster casts & begins concentrating on it. Next the target's turn rolls around & they get a second no action cost save for free. If the target has failed two saves now they can make a strength check to just ignore it provided they are not either capable of using ranged abilities or more likely already where they want to be in reach of their preferred target where they intend to remain for the rest of the combat.I feel EVERY save-or-suck (including spells and nonmagic features) should be impossible until the target is at least bloodied at half hit points.
Until then, the targets guard is up. Only after bloodied, does one notice that the target is getting sloppy and leaving openings at times.
Spells like web used to be part of a caster's bread & butter because they ignored spell resistance & were much more reliable with higher costs to ignore but in o5e magic resistance means that the target needs to fail four dex saves before maybe being mildly hindered. Adding a bloodied requirement would just ensure that the targets were all but certain to be exactly where they intended to stay before it can be used.