Are there any drawbacks to requesting progressive taxi every time?
Apart from appearing really unprofessional, the obvious drawback is a significantly higher workload, both for the pilot but especially for ATC. You're not the only aircraft moving around at the airport, and even if you are, the controller most likely has other things to do than focus entirely on you.
As a pilot, you will also have a lower situational awareness, since you are not actually keeping track of where you are, but just following turn-by-turn instructions. Are you 100% sure you are at the right runway? And that the runway is long enough? What was the departure procedure again? Is the aircraft correctly configured for takeoff? I guess you didn't have time to check the charts, do a departure briefing and run through checklists since you had to focus on the radio all the time.
A more subtle drawback is that the controller will trust you less and as a result may very well choose to delay you in some situations. This is not written in any books, but controllers do establish sort of a mental picture of a pilot's competence level while talking to them, and if someone repeatedly requested progressive taxi, that would certainly raise a red flag. If you're waiting in line for takeoff, and there is a gap between arriving aircraft just large enough to get you going, the controller is more likely to let you wait for a better opportunity if they do not trust you fully. What's to say an (apparently) inexperienced pilot won't line up and spend 30 seconds on the runway before applying power - forcing a go-around for the aircraft on short final? Best wait another few minutes until there is a larger gap.
Ultimately, if you are in doubt about where you are, PLEASE DO ASK the controller for help! But, if you plan on making a habit of it just for convenience, please know that you are abusing the system, potentially reducing ATC capacity and causing an unsafe situation for yourself or others.