Then lead away , I am interested to see the logical steps .

Let me try that:

Fact 1: Atmo-something refraction due to temperature gradient exists, proof: mirages as in the following figure:

Fact 2: Atmo-something refraction can indeed be modeled with Math formulas (we may not agree on the exact formulas, but those formulas do exist).

Fact 3: In a FE temperature gradient would go upwards in layers that are horizontal, but in a RE they would be concentric spherical shells.

Fact 4: Given the Math formulas believed by REs, and assuming Fact 3, and a temperature gradient, from the RET point of view the Bedford Level experiment would give the same exact results both on FE and RE.

Conclusion: Rowbotham concluded FE from an observation that was enough for him, but not enough for those using a certain set of Math formulas (aka REs). For the latters, temperature gradient should have been taken into account. Now somerled you don't trust REs Math formulas, but this doesn't disprove Fact 1 and also doesn't exempt FE experimenters to not consider the possibility that visual results on land survey could be due to atmo-something refraction.