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Some quasi-thermal (QT) dominated gamma-ray bursts (GRBs) could be welldescribed by a multi-color blackbody (BB) function or a combined model of BBplus non-thermal (NT) component. In this analysis, two QT radiation-dominatedbursts with known emission properties (GRB 210610B likely from a hybrid jet,and GRB 210121A with a spectrum consistent with a non-dissipative photosphericemission from a pure hot fireball) are used to make a comparison between thesetwo modelings. To diagnose the magnetization properties of the central engine,the `top-down' approach proposed by Gao \& Zhang is adopted. It is found thatdiagnoses based on these two modelings could provide similar conclusionsqualitatively; however, the modeling with mBB (or mBB+NT) may give morereasonable physical explanations. This implies that impacts from the GRB jetstructure and the geometrical broadening on the observed spectrum should beconsidered. However, conservatively, these methods may be not sensitive enoughto distinguish between the pure hot fireball and a mildly magnetized hybridjet. Some other information is necessary to provide more evidence for thedetermination of jet properties for similar GRBs. Based on theseconsiderations, we suggest that the photospheric emission of GRB 221022B isfrom a hot jet; a dissipation is caused by a internal shock (IS) mechanism dueto the increasing Lorentz Factor with time, which makes its prompt emissionbehaves a typical evolution from thermal to NT.

Spectral and Jet Properties of the Quasi-thermal Dominated GRB 210121A, GRB 210610B and GRB 221022B