Depends on the transaction. BTC has a lot of ICO's which boosts it's transaction count. But using BTC as a middle man doesn't boost BTC price.
using as a middleman definitely can and will. the BCH stress test was a great example. the tx count was around 600k and the price rose 20%. not a coincidence.
You are wrong. The price will only move up if there is a buyer willing to pay a higher price. Maybe some were buying to run the stress test. ST coins may not be sold back into market.
I agree with your 2nd sentence. the idea is that you buy and use as medium of exchange and never sell back to fiat. people late must pay higher price, but are buying into the system