delinea As apparently seen with screenshot shared if you are looking forward to having similar positioning of logo in sticky and non-sticky mode, You may try this workaround :
1) Try add this to custom.css file :
@media only screen and (max-width: 600px) {.logo {display:none !important;}}
2) And Instead, add the similar logo image to custom module and try assign it head-right module position
3) Thereafter, Try add this also to custom.css file :
@media only screen and (min-width: 600px) {.headright-wrap .head-right > div.custom {display:none !important;}}
Kindly ensure to clear your browser cache if changes dont reflect.
After the above proposed changes, Some CSS tweaks might be needed to get positioning right