1/4" plugs really have a 300 watt limit in audio. Even at that, have I done loud gigs not in the PA with a 300 watt amp and pulled a pretty warm 1/4" from the speaker cab at the end of the gig. Heat means wasted power. [Grandpa ahead] In the old days we were overheatin' plugs and jacks in PA stuff and with nothin' else good we used AC twistlocks for speaker cabs. One a jack gets hot it loses spring tension (loose feeling) and can't perform well, at that point you must replace, rinse and repeat.
I've seen hot plugs as well.
A commonly used ¼" jack for the output in amps is the Switchcraft 12A. The specs are attached. The contacts are a nickel silver allow. One reason why oxidation builds up on them so easily. The contact plating is rated for 10,000 insertion and withdrawal cycles. Interesting that there is a military version that can withstand 20,000 cycles. This means that the plating is better. But now for the money spec: the contact rating is 1A 25V DC. Conveniently for them, don't provide an AC rating. But people don't run DC through a Switchcraft 12A jack.
Take a 300W amp into a 4 Ω cabinet. At rated power this is 35V and 8.66A AC. With peaks, this will be higher.
(P=V * I = I * I* R. So the current is the square root of the power divided by the resistance: the square root of 300W/4 ohms = 8.66A. Also V = P/I so 300W/8.66A = 35V).
So the question is, can a jack that is rated for 1A@25V DC be used for an 8.66A@35V AC application? It's complicated. Contacts have a resistance as seen in the data sheet. Oxidation adds contact resistance which means more heat. Power and heat factor in to the current capacity. Heat lowers the current capacity rating. If you want to compare an AC voltage rating with a DC rating, to be conservative, you'd want to look at the peak AC voltage. With an AC sine wave, the peak is 1.414 times higher. So the 35 VRMS of the 300W amp above is about 50V peak. Having said that, often the RMS AC voltage rating is used as an equivalent of the DC voltage rating. So the 25V @ 1 A DC rating of the jack can be accepted as 25V RMS @ 1A AC. As I said it is more complicated, this is based on some assumptions. The AC, 50% duty cycle current capacity of the jack is actually higher than 1A. Let's be very generous and say that it is 2A.
If we accept this, is it is safe to use a jack rated at 25V RMS @ 2A AC in an application that requires at least 35V @ 8.66A AC? It is the current that is important, more so than the voltage.
By comparison, the Speakon NL4MP contacts are rated at 40A for a 50% duty cycle --sine wave AC, 250V.
It's a no brainer when it comes to higher powered amps.