Well, as a current owner of both a YLR and YP, I’ll offer another perspective….
First, some color: our LR came first but was followed by the P a mere 4 days later after an unfortunate incident totaled my beloved Stealth3.
Having found myself unexpectedly needing a car quickly, I ordered the MYP as it was purported to be available in 4-6 weeks at time of order. It arrived in 27 days….
Now, for the comparison: with regard to price—the base P is [currently] only $5k more than a base LR. If one were to upgrade the LR wheel to the 20” Inductions ($2k) and opt for the Performance Boost post-purchase ($2k) the delta in price shrinks to a mere $1k. For that $1k, a would-be buyer gets 1) a further reduction of 0-60 time by ~.5 seconds (same as the Performance Boost that cost $2k) 2) 21” Uberturbine wheels (stunning IMO albeit prone to damage and offering a comparatively firmer ride) 3) carbon fiber spoiler 4) sport aluminum pedals 5) red brake calipers 6) slightly lowered suspension to help reduce that unsightly wheel gap. Only a would-be purchaser can decided if these six items are worth the price….in my case, it was an easy decision. The appreciably shorter delivery time was obviously the driver for the decision, but it was easy to defend (to the boss) given all the items listed above.
For those not following the nuances of Tesla pricing, there was a time when the P was $10k more than the LR, in which case I would have waited for a new LR to be delivered and figured out an interim step for my vehicle needs as I couldn‘t justify that delta. Over the course of the last 12 months, however, Tesla has raised the price of the LR significantly more that the P, thus the delta between the two has shrunk appreciably.
Finally, with respect to the wheels/ride/tire-wear/all-season traction argument: this one still stands, and it was something I planned to address immediately upon delivery (and did). My plan was to by M3P Uberturbines (love that wheel on the Y) and wrap in all-season rubber with a taller sidewall. This, IMO, was and is a good plan. However, upon further thought, I went an even easier and more cost effective route: I simply upsized the tires on the 21s and switched to all-seasons. I now have a ride that is virtually indistinguishable from our LR (with Geminis) and that offer the protection (they’re wider), performance (Michelin All-Season 4s), traction and wear profile befitting a crossover SUV. The work was done in my driveway while I was on a conference call. Added benefit: I sold the OEM PZeros and covered more than half my cost Of the new rubber/installation.
Point being: there are numerous reasons to buy a P other than the shorter delivery time. It may not be the right spec for all (we road trip in the LR for its better range, for example) but its a blast to drive and I don’t regret it for a moment. In fact, I would’ve regretting not doing it!
TL;DR — 1) price delta between Y/P isn‘t significant 2) if you buy a P, change the rubber and upsize for a better ride, better look and better performance.
Stay well all.