Internal insulation #1 - Room heats up very rapidly Only the mass of air in the room need be heated, however without objects of some thermal mass in the room it will lose heat relatively quickly if doors are opened.
#2 - Cold draughts off walls are eliminated This is most noticeable in areas such as hallways, rooms 2-3 outside walls like bathroom, boxrooms, kitchens etc.
Cavity wall insulation #1 - Room holds heat for longer You are heating the mass of the inner leaf bricks which takes many kW over many days, but the insulation prevents that heat leaking away so the fabric of the room holds heat for longer.
#2 - Cold draughts off walls are eliminated This is true, but more difficult to achieve in places such as hallways or bathrooms where heating is less so the inner leaf of bricks do not reach a particularly high temperature.
External wall insulation. As for cavity wall insulation, only even longer warmup countered by even larger thermal mass.
Internal insulation is very good for rarely used rooms & on-demand/ limited heating, because it permits a faster warmup by not having to heat n-tons of bricks to whatever-degrees-C. Conversely with cavity- wall & external insulation it is better to have a reasonable background temperature maintained 24/7 and boosted as necessary.