Hi Adam,
no, in my scalping I have never worked with stops that are tighter than my targets. At least not since I became profitable. Quite the opposite, for a long time I have scalped without any stop per trade. Instead, I had set a daily max loss, and once this has been hit, I would stop trading for that day.
I see scalping a little bit like the work of an insurance company: you collect many small, regular insurance premiums from the policy holders. And once in a while, the insured event will happen (max loss day) and you will have to pay a big amount to the policy holder. The key to long term profit is the same for an insurance company as it is for me as a scalper: the many small, consistent wins must in sum have to be more than the few, occasional heavy losses.
Trading is a game of numers, statistics and experience. Nothing is written in stone. You can change parameters as you wish and adapt a style so that you feel good and comfortable with it. I know that many here do not feel good to place trades without stops, thats why I wrote: control your losses, keep a tight stop. But it is not a must. Both with a tight stop per trade and also without per trade stops and just a max loss limit per day you can make consistent gains in a volatile market like FDAX or NQ.
With the daily max loss your trade results will look somewhat like this (in ticks), for example over 2 days (this is if you are good, and have experience with your market. There is no free lunch or magic setup):
+2, +1, +3, +1, +2, +4, +1, +2, +2, +1, -20, +3, +1, +2, +1, +5 = 11 ticks total
If you apply a tighter stop per trade (lets say 5 ticks) instead of the daily 20 tick max loss, your results might look something like this:
+1, +3, +2, +1, +2, -5, +3, +1, +1, +2, +2, +1, -5, +3, -5, +2, +1, +2 =12 ticks total
So both types of risk management can work, it depends what fits your taste and your general style of trading and your setups better.
Hope this helps a bit

Greetings,
CALLumbus