Example 1: Flight school posts on Facebook that today between 4pm and 8pm your favorite 172 is $20 off per hour. Would you jump at the opportunity for some spur of the moment flying?
Maybe on occasion, it's not a bad idea. It would probably only prompt me to take advantage a few times a year if it happened to be really nice out and I could get away from work easily.
Example 2: Flight school has regular specials, a "Happy Hour" of sorts for flying. So if Tuesday mornings are regularly under-utilized a regularly weekly special of "Get the Piper Archer for the Piper Warrior price on Tuesdays from 7am to noon".
Meh, less-so on this because I usually fly for burger runs or fly-ins which won't likely fall on the low-usage periods.
Example 3: Would you be inclined to change where you rent from (assuming the two places are located on the same field) for a special price? Like "Get checked out in our 172R and the ground instruction fee is waived if your zip-code is xxxxx-xxxxx"
No. I rent from whomever has the aircraft I want/need at the lowest price. I suppose if they were willing to get me checked out for free (on instruction) in an aircraft the other rental outfit didn't have I'd probably jump on it.
Example 4: A flight school joining OpenAirplane. Though since OpenAirplane does take a cut (and rightfully so) prices are slightly higher than standard.
OpenAirplane is a nice thought, but I'm not paying more for using a service that lets everyone know what my logbook already says: I'm current/proficient in said aircraft.
Things that would get me flying more:
1) Greater variety of rental aircraft (Tiger, Cherokee 6, C182, Mooney 201, Taylorcraft, etc). The usual rental outfits usually have a group of 152/172's and a Seminole or similar multi-trainer. Nothing that could hold 4-full sized adults, nothing that's fun or different. Trainers are all well and good, and that's their bread-n-butter for rental revenue I'm sure, but I want to rent an aircraft to go somewhere with family and friends. 172's don't allow for much useful load, and I don't want to have to get a multi-rating and try to keep proficient for the few times a year I'd need the useful load it might provide.
2) Better online scheduling/information. Give me the ability to schedule an aircraft myself online. I can rent a car/hotel room/etc online without talking to a soul, I should be able to log in and sign up for an aircraft time slot. Also, provide some info on the aircraft by tail number (like W/B, fuel capacity, panel, maybe some pics) so that if I want to schedule an aircraft, I can do some pre-flight before I get there. Flight Schedule Pro provides a lot of that capability, but neither of the places I rent from uses it to its full capacity.
3) The rental outfits I frequent do give block time discounts, which I used during training, but I'm not handing over $1000+ or more to a company just so they can build interest on my cash.