Not exactly on the right track, first part is ok,
whenever coax is not terminated with a pure resistance equal to its own characteristic impedance there will be reflections,
impedance will swing up and down as you move along a mismatched coax but vswr ignoring coax loss is the same at any point along the coax,
in practice vswr will read a little lower at the transmitter than at the antenna on longer runs due to loss in the coax,
vswr deals with the currents on the inside surface of the braid and the center conductor,
currents on the outside of the braid are common mode currents,
chokes don't choke current inside the coax,
they choke currents on the outside of the braid,
common mode can play a part in vswr because common mode impedance is seen in parallel with the load terminating the coax,
winding chokes & cutting coax changes common mode impedance seen in parallel with the load
if winding a choke in the coax or altering the coax length by a few feet does change vswr significantly it indicates you have common mode on the braid,