For someone to see a trust publicly is called default trust right?
All trust feedbacks are public, so I guess you're talking about trusted and untrusted feedbacks and hence those that do and those that do not influence your rating.
"
DefaultTrust" is an account maintained by the admins.
When we talk about DT, we mostly talk about the users in that accounts downlist (DT1), and the ones in the downlist of those users (DT2).
Feedbacks by those two groups are being shown as trusted (and hence influence ratings) on default/vanilla settings (clean trustlist besides DefaultTrust and depth set to 2).
You however can modify that settings as much as you like, build your own trust list and network with users you trust and with users whos feedbacks you want to see (aswell as exclude those you don't like showing up as trusted).