Yes the playeris by far the biggest difference.
the rarity’s most key especially 50-60s , if owned by a legend like Jimi Hendrix
over $1Million dollars easy especially if documented at a event like Woodstock for example. . To be honest $2k you can get a excellent guitar ,then install your own specific custom pickups to give you the sound you are looking for , as well as strings ,tuners, and have it professionally setup, and most important your amplifier , Vacuum tube by far still the most popular but even good SS models have all kind of feedback and sounds you can do then special products such as petals . Lots to it ,practice practice practice ,is key !!