If it's only been one week since sprouting, then I wouldn't expect more than fully extended seed leaves.
I'm growing Alpine strawberries from seed for the first time, too -- Yellow Wonder and White Soul.
I sowed the seeds two weeks ago and put the seed flat in a veg bag, then out in the cold garage to cold stratefy. (This was based on seed packet instructions from Pinetree Garden Seeds.) The tray just came inside today, so I have to wait for them to sprout still.
I did review my notes and according to Renee's Garden website which usually has good instructions, they want to be at 60-70°F until planting. I would interprete this to mean 70°F until they have sprouted... upper 60's until first set of true leaves, then 60 to mid-60's for sturdy growth.
Here's an excerpt:
https://www.reneesgarden.com/articles/st ... es-ahs.pdf
GROWING ALPINE STRAWBERRIES FROM SEED
In early spring, sow seeds one inch apart and an eighth-inch deep in a container of moistened, fine seed-starting mix. Provide a strong light source and maintain a temperature of 60 to 70 degrees Fahrenheit until seedlings are ready to plant outdoors. Keep the container evenly moist but not soggy. Seeds may take three to four weeks to germinate.
Feed young seedlings every two weeks with half-strength fertil- izer. When they have several sets of leaves, transplant them three inches apart into a deeper container or individual pots so roots have room to develop. When seedlings are three inches tall, gradually ac- climate them to outdoor conditions.
Since the directions stipulate strong light, I would position the 4 ft fluorescent tubes about 4" above the leaves if T-5 (5/8" diameter), 2" above the leaves if T-8 (1" diamer) and 1" above the leaves if T-12 (12/8"=1-1/4" diameter) tubes.