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Seems to be all over the board. There are lots of people here with massive CLs on store cards and so-so credit. My only card with them is the BJ's Elite Perks WMC, opened in August. I asked for a CLI sometime in November and got the letter stating that the account was too new. Tried again by clicking the LUV button in December or January and they gave me $400 (starting line was $17k). Tried Robolady immediately after and no go. I tried Robolady and LUV button last month and got a pair of "you have received a recent credit line increase" letters. I'll try the Robolady again in July and hopefully I can get into that looping credit line increase (request, given, request again, given, rinse and repeat) cycle with her like so many here do with their store cards.
I also have a PayPal Credit account with them that I had completely forgotten about since it doesn't show on my reports and I had not used "Bill Me Later" in years. It's a super low (to me) hidden credit line ($900), and I have never tried to make a large purchase using it to trigger a CLI.
Call Number on back of card. When robolady comes on and asks what you want to do say "Credit Line Increase". I say no set amount. And I get a CLI once a month doing this. Some people report doing it repeatedly in a row. I have only done it once a month.