I wouldn't say "allowed" (although most road foreman probably wouldn't say anything.) If the slack is stretched, it wouldn't be as much of a problem.
The electrics (especially the venerable old HHPs) tend to slip, especially if rail conditions aren't anything but ideal. So it's a good idea to ease into it (but again, not everyone does.)
The diesels are something of an enigma. Coming from idle to notch 1 or 2 while stopper will result in an instant 300 or 600 amps, respectively. "Racking" it to notch 8 causes a delay of amps for about 5 to 10 seconds and then an almighty surge, usually followed by slippage, followed by the train slamming into the back of the engine, so we usually let the amps stabilize at the lower end and THEN notch out to 8. The diesels also react differently from notch to notch. For example, going from notch 1 to 4 brings your amps up quicker than from 2 to 5, etc. Of course, these are 25 year old GE computers doing the magic, so....
And yes, we sure can dynamics. In fact, they're encouraged as a "fuel conservation" technique. I try to use dynamics as much as I can, but when one factors in the 10 second delay from power to dynamics, or vice versa.... Lots of times, its just better to stretch. The dynamics also drop out insanely early, about 25 MPH they start to fade and are virtually useless below 10.
And don't even get me started on the blend...