Dewalt 12V battery - Bosch professional 12V Tool adapter ( Jadapters )

Can anyone tell me if the Milwaukee 12V is the exact same form factor as the Bosch? I'd like to return this battery and get a Milwaukee one since I have all

DeWalt Battery Adapters – Power Tools Adapters

TPDL Adapter for Dewalt 20V to 12V Tool Use, Fit for XR 18V/20V Li-ion Battery Convert to 12V Tools Use - DM18DW12 Adaptor (Adapter Only) : Tools & Home Improvement

TPDL Adapter for Dewalt 20V to 12V Tool Use, Fit for XR 18V/20V Li-ion Battery Convert to 12V Tools Use - DM18DW12 Adaptor (Adapter Only) : Tools & Home Improvement

HILTI NEW BATTERY - Hilti Old 24V Tool adapter ( Jadapters ) $49.99 - PicClick

The tool I work with.

Dewalt 12V battery - Bosch professional 12V Tool adapter ( Jadapters )

Milwaukee Bosch RIDGID 12v Power Tools Battery, What you can do?!

Badaptor – Power tool battery adapters

Battery Adapters for Bosch Proffesional Power Tools (JAdapters)

Badaptor – Power tool battery adapters

Dewalt Battery Adapter to Bosch

DEWALT 14,4-18-20V BATTERY - Gesipa Tool Adapter ( Jadapters ) £47.24 - PicClick UK

Dewalt Battery Adapter to Bosch