The LM301 can be faster, but the LM741 was the "already unity gain compensated" version of the LM301. So, the LM301 would only be faster if you're using it above unity gain, with your own-provided compensation cap (or lack thereof).
Yeah, both of these amps are really slow, but still, it's worth mentioning that 3M was able to 'almost' successfully use them in the repro amps of some of their '70s tape machines by using custom wound transformers to step down the signal voltage around these hobbled amps, and then use even more custom wound transformers and some discrete stages to get an output that was suitable for a professional audio device. My point is that if you carefully engineer the "context" of such a slow amp to limit the voltage swing, you can get it to pass 20kHz without slew limiting, and almost make it worthy of professional use. Not such an awful tradeoff, given the high noise floor of tape re. IC amplifiers, and the inability of IC amplifiers then to slew voltage.
That said, 3M later released a bunch of retrofits to these machines, once the TDA1034 and NE5534 became available, so that owners of these tape machines could use an amp that actually worked well.
Oddly enough, 3M's discrete electronics machines (M56?) also used amplifiers with really low collector currents and very large compensation caps, so their discrete designs were pretty much equivalent or worse than a 741 in terms of slew problems, for reasons that I cannot understand. I think they were fixated on the current noise that results from a high collector current, without considering that a high collector current lets you reduce voltage noise by using lower circuit resistances, which also makes current noise less relevant. But again, using their odd step-down and step-up transformers, they seemed to get the thing to pass 20kHz.
Such are the awesomenesses of "vintage circuits"! Nobody would do any of that now, so, to the original poster, if you want "vintage sound", you should try to find a device whose flavor you like and then study the circuit. There are too many versions of "vintage sound" to be able to sort it out easily, without ending up with something that simply doesn't sound that good.