Salthorae
Imperial Mountain Dew Taster
What I found in play was that I could set up encounters where there wasn't enough room for characters to kite, or where the foes used ranged attacks so kiting them didn't matter. That is what I mean by warping play around the feature. Where I did not do that, the ability for a warlock to push back 20' or so (a couple of bolts hitting) and also move themselves, trivialised the combat in that long-winded way that kiting strategies do.
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I base my thoughts on live play at my table: 75 sessions (I tracked them) and over a hundred encounters (I have a partial track of those in FG). As you say, the impact of repelling depends on the movement rates of the foes... and again this is the warping problem. I wanted to be able to use foes with all kinds of movement rates, and the amount of movement needed to negate repelling is more than it looks on paper.
Of course, different tables have different ways of playing, which matters. Between the two warlocks at my table, one was super crunch-focused and abused the heck out of his invocations, and the other was more relaxed about them. If I had only had the second player in my game, I doubt I would have noticed a problem.
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I think if one had a different view of the cost and risk, then one might not want to try it. Otherwise I would recommend changing it to one push per target, for tables who are deeply into encounter tactics and have warlock PCs.
I'm glad I'm not the only one who has experienced this at their table.
I think the type of players at the table matters too as you mentioned. One of my players too is all about maximizing their crunch. So they really double down on their Warlocks with Sorcerer multiclassing. (Multiclassing is accepted at our table for all our DM's so I don't want to hear 'well that's your problem, it's not EB and RP'. Yes, it is RP, it is only compounded by Quicken Spell! And I'm not going to ban a single multiclass combo because it has so many problems in combinations).
I have another player who often plays Warlocks who doesn't really care that much about squeezing every last mechanical drop, but he has seen how effected Repelling Blast can be and takes it on HIS warlocks too. At least until I brought it down to 1 auto and Str save for the following pushes. I might just do what others seem to have done and drop it all the way to 10' once per turn.