So, to sum it up:
- TAI is a real thing, it has a concrete meaning, and it's "leap infinity".
- UT1 is a real thing, but is unusable in practice, and you could think of it as "leap ms"
- UTC until yesterday was a real thing, meaning time, which has seconds equal to TAI-seconds, but not drifting from UT1 for more than 0.9 s. Since today it's broken and I'm not sure what it even means anymore — I mean, not in practice, but "platonically".
- Nobody just introduced a standard that would mean "time with seconds equal to TAI-seconds, but not drifting from UT1 for more than 59 s" yet. I guess you could be the one to do it, but I'm not sure it would get a wide adoption.