Modern "thick" disposables don't "make" a person waddle. Not unless you are double diapering with something lkke confidry or betterdry, or using many layers of cloth.
The waddling you are experiencing is because you still haven't gotten used to wearing diapers. You are overly conscious of them, and are overcompensating as you walk- which is what makes you waddle.
The only real way to overcome this problem is to wear and walk in them for long enough (months/maybe even years for you), to become comfortable enough in them it's like a second nature to have one on.
Your only other option for now is to keep wearing thin ones until you stop noticing them, and only then to upgrade to slightly thicker diapers.