Myself, I kind of doubt the rev tranny is bad...if it was, that resistor would probably be vaporized, not just charred.
I think what I would do is to measure that resistor in-circuit. Make sure the amp has not been turned OFF for .... a while. 5 minutes. That resistor need not be unsoldered to measure its value.
Resistors cook because too much current is flowing through them. Generally, those type (carbon comp) resistors tend to drift upwards, which would reduce current. But they can also drift down, and if it has drifted downwards, then too much current might be flowing through it. (Once it is charred, there's no telling what actual circuit value it might have) That could produce a kind of runaway condition and scorch the poor dude.
It's also possible that the resistor will just fall apart or break in half if and when you try to unsolder it. Take a probe and push on the side of that resistor. It might very well just crack in half. (You're going to have to unsolder & replace it anyway)
Another approach would be to just replace that resistor and run the amp for a while, see if it smokes. Resistors are pretty cheap. Out tranny = not involved as far as I can see.
The answer to your question "should I just replace or should I suspect..." is "yes" (meaning both), but you say the amp is a over a decade old. I would have to suspect the .002 cap placed around that tube, as well. If that cap is leaky, plenty of undesired current (over and above the nominal tube current...which, since the drop across the 22K resistor is 34 volts is only 34/22000 = 1.5 mils which is why you can use only half a tube instead of Fender which uses both halves of a 12AT7 as rev driver) So while you are measuring the charred resistor, measure that cap (with ohmmeter) as well and consider replacing it on General Principles.
I think I would replace the resistor and the .002 cap, let the thing run, be unsurprised if the new R smokes as well, but let that happen before going nuts taking it apart. Think of it as a sacrificial resistor.