Tyre testing for model parameterisation is typically conducted under constrained operating conditions in order to ensure data repeatability. Although this approach provides consistency, it does not necessarily explore the full spectrum of tyre-road friction behaviour experienced by a tyre in real-world driving. Testing beyond these constrained conditions is technically possible, but it significantly increases test duration and typically requires advanced modelling approaches that incorporate thermal tyre behaviour, such as a thermal extension of the Magic Formula, in order to make full use of the data. Many variations in force generation observed at different speeds arise from associated changes in tread temperature, which modify the frictional interaction between the tread rubber and the road surface. Extracting these friction characteristics therefore provides valuable information and represents a key step towards enabling physics-informed, speed-dependent Magic Formula modelling. This paper demonstrates a previously published methodology [1] across a broad range of tread compounds and tyre types, including Winter and All-Season tyres. The results demonstrate the robustness and effectiveness of the proposed methodology across a diverse set of tyres, supporting its future application to speed-dependent Magic Formula curve reconstruction.