Now I should note everything I'm going to say here applies to FICO credit score. Banks are certainly welcome to delve deeper and look at individual account performance and make a determination that way. So maybe, and there's no way to know this, the bank would evaluate that pattern more favourably when looking at the account and considering an upgrade to an unsecured account.
However for credit score what matters is (in order of importance):
--Payment history. Paying as agreed (meaning not more than 30 days late) is the biggest thing. Having no delinquencies, collections, defaults, etc is the prime thing. A long history of "pays as agreed" is what matters most.
--Debt burden, meaning how much you owe. For revolving accounts that is the amount of credit available vs the amount used. So having a number of high limit unused credit cards helps your score. For installment/mortgage accounts it is more about how much has been payed off.
--Length of credit history. The longer you've had a credit history, the better it can be. Also the longer you have specific accounts, the more they help.
--Types of credit. The more kinds of credit you've had, the better. This means revolving (like credit cards), installment (like a car loan), and mortgage. If you've multiple categories, that helps more than just having one.
--Credit inquiries. Each time you seek credit, it hurts your score a little for a short while. It isn't much and it doesn't last long, but is has an effect.
That's it. That's how it is calculated. Of those, payment history and debt burden are by FAR the biggest part. So if you have accounts that show you always pay as agreed, and you don't owe much, you'll have good credit.
As an example: I have a mortgage on my primary house, also a paid off mortgage on file since I refinanced (which is technically a new loan so the old one shows as paid off). I have a bunch of credit cards, probably $40,000 in credit, most of which don't get used, I got them because they offered a bribe and then never made use of them again. I have a primary card that I use for pretty much all purchases, and pay off in full each month. My credit score was 820, last time I checked.
The reasons are I have a perfect, lengthy, payment record, two kinds of credit, and I owe very little in relation to my available borrowing power. Hence, good score.
Also when I did a secured card, which admittedly was like 2 decades ago, I paid it off in full every month, and after the prescribed period, 6 months I think, they gave me an unsecured card no issue.