Why does underpitching result in stressed yeast?
A dose of sulfite should give the pitched yeast time to establish itself.
The number of yeast is limited by 3 factors - food, nutrients, and oxygen. The yeast will multiply until the competition for food prevents them from multiplying. Every time a yeast cell buds (multiplies) it gives up a bit of its cell wall (glycogen reserves) and internal proteins. The yeast use oxygen to rebuild those in nature.
Now in your beer oxygen is a limited resource. So if yeast need to multiply too much to use the available food source, their cell walls become weaker and they are less healthy overall.
You need to pitch enough yeast so that they can multiply up to the final cell count in fewer generations so that their cell walls remain sturdy and they are not limited by the lack of oxygen or nutrients.
Now in a starter you intentionally introduce oxygen the whole time on a stir plate or by shaking it. You should also never increase the yeast by more than a factor of 10 in a single starter. When they run out of food, they begin the process of going dormant again which involves building their glycogen reserves back up.
This all has to do with this principal of maintaining healthy cells by not limiting their oxygen and reducing the number of generations that they have to create before going dormant and replenishing their glycogen reserves.
Then when you pitch a starter into your beer you have a high number of healthy cells with full glycogen reserves ready to go.
Dosing wort with sulfite isn't a great idea I IMO. It will certainly inhibit bacterial growth, but if it's not all consumed before the yeast is pitched it will also inhibit yeast growth. The only way to get rid of sulfite is to oxygenation your worth thoroughly.