Those regulators are fine.
They are 1.5A rated, many similar regulators are only rated 1A, though there is very little difference in price so why not.
Incidentally, when this goo gets REALLY out of control, it not only becomes conductive, it also becomes very corrosive.
I have seen many a resistor's metal legs and wire jumpers literally eaten in two.
Your's doesn't look to have got to that point yet, but it may still be a good idea to check for corroded joints or vias where the goo was.
And also, the conductive glue in these types of powered monitors has a habit of causing the mute circuit to mute intermittently, or to crackle as it partially does so, this can be at the top of the board near the power amp IC's, which is why I think you should remove all that too.
A previous poster mentioned the mute circuit, this could be what you are hearing, or even a combination of this and bad caps.
And finally, an ESR meter can indeed be very useful - just today I found a bad SMD cap in circuit using one.
They are not really such a good indicator of a good cap, though and often can't test in circuit anyway.
But, if you put it across a cap in circuit, whatever circuitry is surrounding it, and it DOESN'T show a low ESR, it MUST be bad.
Which is what happend to me today. And very useful that was.