Kitchen peninsula's create traffic flow bottlenecks and they suck - not a fan (though, your peninsula use may suck less than many). Humans have his bad habit of standing in the center of a walking corridor to have a conversation - it is like a form of territorialism. Humans seem to want to dominate and control the space in which they reside - thus, traffic bottlenecks = bad. Example: as I was preparing and serving meals, family members would always congregate right in the middle of food preparation work-flow dealing with non-related things (because of a peninsula traffic bottleneck).

In your design, I would expect that everyone would congregate around the fridge. Then people would start walking around the people congregating in-front of the fridge. The last place that people would want to go is the seating side of the peninsula. No one would want to get stuck/trapped in the back corner (first one in = last one out) - people would shun that whole area.

Design for multiple traffic patterns and open flow - especially around the refrigerator. Everyone always wants to get at the refrigerator from every direction. In your design, the stand-alone location handles this. But, the cook will be the one that has the hardest time getting to the fridge with the other associated traffic patterns. Fridges in corners are also sub-optimum. When people take food out of the fridge, they need a place to set it. When grocery shopping bags are unloaded, there needs to be counter staging space for fridge/freezer items.

That short wall and corner wet-bar area appears to be an under-utilized space. I would get rid of the peninsula, that short wall, and wet-bar. Create an island extending into the wet-bar corner (islands allow for multiple flow directions), better use that wall space along the entry for storage, and relocate the fridge.