Bar-Natan lists pairs of knots that have identical Jones polynomial and distinct Khovanov homology. A subset of this list consists of rational knots paired with certain rational tangle closures of the \((3,-2)\) pretzel tangle. Each pair of this form is related by replacing the \((3,-2)\) pretzel tangle with a rational tangle: an operation that leaves the Jones polynomial unchanged under favourable conditions. We investigate a pair on this list, \(10_132\) and the cinquefoil \(5_1\), using immersed curve invariants developed by Kotelskiy, Watson and Zibrowius. Using this viewpoint we see how the Jones polynomials of \(10_132\) and the cinquefoil \(5_1\) agree and how the Khovanov invariants differ. This leads us to the question: For which rational knots does there exist a rational closure of the \((3,-2)\) pretzel tangle with the same Jones polynomial? In particular, it is instructive to warm up with: does there exist a rational closure of \((3,-2)\) pretzel tangle with the same Jones polynomial as the unknot? We explain why this cannot be the case, and gesture towards some further questions and work in progress.