Yes a good speaker makes a difference if you plan on using a tube amp/analog setup. You can find a JBL E120 reasonably on Ebay. Beyma Liberty and Eminence Commonwealth use the same construction, identical spiders, 4" voice coil, giant ceramic magnets, aluminum dustcaps, LOTS of wattage and high sensitvity, paper cone. All these factors allow you to get close to a JBL with a new speaker. Stock fender speakers lend towards speaker breakup, some at low wattage, that is not desirable. Another god Jerry speaker is a vintage Peavey Black Widdow, old school with the dust cap, not the new ones.
Other fellers here have had great results with other JBL inspired speakers such as Webber Neo Mags. Lower wattage and MUCH lighter magnet. In conclusion, I will venture to say that the speaker is a big part of the tone you are looking for if you plan on using a vintage tube amp.
A lot of people have gone through this process and can help you not make costly purchases you will regret if you don't play in a band or medium venues. If this a bedroom, home practice tone thing, look up the bedroom tone thread here, there is everything from tube, solid state to modern high bit rate modeling amps that foot the bill well, most for under $400.
I would reconsider the reissue if you don't know how to replace parts and work on tube amps. Look for a vintage part to part version not built on a pre printed circuit board(computer chip looking board). Reissues are not impossible to mod, just a bigger pain in the ass and take longer to work on which means longer tech charges. Actually they are laid out very neatly and labeled well for easy identification, but easier to ruin with a novice hand and have to be dismantled somewhat to get to the tone stack.
Hope this helps.
Mucho Gusto y Bienvendido, JB