There are two main types of grid-forming converters: those utilising a current control loop (CC-GFM) and those employing direct voltage control without an inner current loop (VC-GFM). Since voltage-source operation has recently been identified as essential for grid-connected converters in the newly published ENTSO-E and UNIFI grid codes for grid-forming generators, VC-GFM is naturally well suited to exhibit this behaviour. In contrast, the behaviour of CC-GFM strongly depends on the method used to generate current references during large transients. These current references are typically produced by a current estimator. In this work, a dynamic estimation model (DEM), combined with a transient virtual resistance, is proposed as an alternative to the quasi-static estimation model (QSEM), commonly referred to in the literature as virtual admittance, which has been widely adopted for CC-GFM applications. The proposed approach demonstrates that CC-GFM operation can closely emulate the behaviour of an ideal voltage source. Using both a single-unit infinite-bus configuration and a two-converter system connected to a weak grid, the performances of DEM-based CC-GFM, QSEM-based CC-GFM, and VC-GFM are compared for small-signal stability. These electromagnetic transient studies show that the DEM-based CC-GFM exhibits behaviour closely aligned with VC-GFM and outperforms the QSEM-based CC-GFM.