If you re-cone, check your polarity. Some of the old vintage Jensen's had reverse polarity, something we have been discussing at the Drawing Board.
A recone job will most likely put the speaker into today's standard polarity, due to the direction of the voice coil winding.
If you have a multiple spk cab, compare it with the other spks with a 9 volt batt. If it is a single spk, don't worry about it, unless you want your amp to play backwrds, like some of the older amps. If using the amp with other amps at the same time, you need to phase everything together.