It's your car, do what you want. I'd never ignore a "Service Engine Soon" light. I've never had a car that had one come on due to mileage programming, but if I did I'd figure out where/how to turn it off.
This light is an indicator of your cars health. Reading the codes is easy enough, so there's really no excuse for ignoring it. Any time this has come on for me it's been a bad O2 sensor, or driving through water has caused a bad reading in the O2 sensor.
Choosing to ignore it is silly, and removing the bulb is worse. You pull the bulb, you'll never know what's wrong or if something new comes up. On the cars I'm familiar with, whenever a trouble code is stored, the computer defaults all the engine settings to a full rich mixture. The designers did this to minimize damage that a defective sensor could cause. I drove my S10 for a couple of years with a bad O2 sensor (I read the code) thinking nothing of it. I was getting 17 mpg and thought that's just what it got. I eventually changed the $20 part, and the computer was happy again. All of a sudden, I got 24 mpg. I figure I spent $300 or so in fuel I didn't have to.
Your choice...